Subgroups — C₂×#22624300 #33993625

Order 18688.

8046 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22624300	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989328	C₂	1	2	yes	maximal, complemented
3	C₂×#17989327	C₂	1	2	yes	maximal, complemented
4	C₂×#17989309	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#17989288	C₂	1	2	yes	maximal, complemented
6	C₂×#17989259	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17989258	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#17989255	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#17989239	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#17989232	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989229	C₂	1	2	yes	maximal, complemented
12	C₂×#17989228	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#17989221	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#17989211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#17989177	C₂	1	2	yes	maximal, complemented
16	C₂×#17989171	C₂	1	2	yes	maximal, complemented
17	C₂×#17989167	C₂	1	2	yes	maximal, complemented
18	C₂×#17989156	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#17989155	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#17989155	C₂	1	2	yes	maximal, complemented
21	C₂×#17989138	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989136	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#17989115	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#542×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924029	C₂²	1	2	yes	complemented
26	C₂²×#11924029	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#11924029	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#11924028	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#11924028	C₂²	1	2	yes	complemented
30	C₂²×#11924027	C₂²	1	1	yes	characteristic, complemented
31	C₂³×D₂₉₂	C₂²	1	1	yes	characteristic
32	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
33	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
34	#17989328	C₂²	1	32	yes	complemented
35	#17989327	C₂²	1	32	yes	complemented
36	#17989309	C₂²	1	16	yes	complemented
37	#17989288	C₂²	1	32	yes	complemented
38	#17989259	C₂²	1	16	yes	complemented
39	#17989258	C₂²	1	16	yes	complemented
40	#17989255	C₂²	1	16	yes	complemented
41	#17989239	C₂²	1	16	yes	complemented
42	#17989232	C₂²	1	16	yes	complemented
43	#17989229	C₂²	1	32	yes	complemented
44	#17989228	C₂²	1	16	yes	complemented
45	#17989221	C₂²	1	16	yes	complemented
46	#17989211	C₂²	1	16	yes	complemented
47	#17989177	C₂²	1	32	yes	complemented
48	#17989171	C₂²	1	32	yes	complemented
49	#17989167	C₂²	1	32	yes	complemented
50	#17989156	C₂²	1	16	yes	complemented
51	#17989155	C₂²	1	32	yes	complemented
52	#17989155	C₂²	1	16	yes	complemented
53	#17989138	C₂²	1	16	yes	complemented
54	#17989136	C₂²	1	16	yes	complemented
55	C₂×#14556589	C₂²	1	1	yes	characteristic, complemented
56	C₂×#14556588	C₂²	1	1	yes	characteristic
57	C₂×#14556588	C₂²	1	2	yes	complemented
58	C₂×#14556588	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14556587	C₂²	1	1	yes	characteristic
60	C₂×#14556587	C₂²	1	2	yes	complemented
61	C₂×#14556587	C₂²	1	1	yes	characteristic, complemented
62	#17989115	C₂²	1	16	yes	complemented
63	C₂×#14556586	C₂²	1	1	yes	characteristic, complemented
64	C₂×#14556586	C₂²	1	2	yes	complemented
65	C₂×#14556586	C₂²	1	2	yes	complemented
66	C₂×#14556585	C₂²	1	2	yes	complemented
67	C₂×#14556584	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14556581	C₂²	1	1	yes	characteristic, complemented
69	C₂×#14556580	C₂²	1	1	yes	characteristic
70	C₂×#14556580	C₂²	1	2	yes	complemented
71	C₂×#14556580	C₂²	1	2	yes	complemented
72	C₂×#14556579	C₂²	1	1	yes	characteristic
73	C₂×#14556579	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14556577	C₂²	1	1	yes	characteristic
75	C₂×#14556576	C₂²	1	2	yes	complemented
76	C₂×#14556576	C₂²	1	2	yes	complemented
77	C₂×#14556576	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14556576	C₂²	1	2	yes	complemented
79	C₂×#14556575	C₂²	1	2	yes	complemented
80	C₂×#14556573	C₂²	1	2	yes	complemented
81	C₂×#14556573	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14556569	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14556569	C₂²	1	2	yes	complemented
85	C₂×#14556567	C₂²	1	2	yes	complemented
86	C₂×#14556566	C₂²	1	1	yes	characteristic
87	C₂×#14556566	C₂²	1	1	yes	characteristic
88	C₂×#14556566	C₂²	1	2	yes	complemented
89	C₂×#14556566	C₂²	1	2	yes	complemented
90	C₂×#14556566	C₂²	1	2	yes	complemented
91	C₂×#14556566	C₂²	1	2	yes	complemented
92	C₂×#14556566	C₂²	1	2	yes	complemented
93	C₂×#14556566	C₂²	1	2	yes	complemented
94	C₂×#14556566	C₂²	1	1	yes	characteristic, complemented
95	C₂×#14556565	C₂²	1	2	yes	complemented
96	C₂×#14556565	C₂²	1	2	yes	complemented
97	C₂×#14556564	C₂²	1	1	yes	characteristic
98	C₂×#14556564	C₂²	1	2	yes	—
99	C₂×#14556564	C₂²	1	2	yes	—
100	C₂×#14556564	C₂²	1	2	yes	complemented
101	C₂×#14556564	C₂²	1	2	yes	complemented
102	C₂×#14556564	C₂²	1	2	yes	complemented
103	C₂×#14556564	C₂²	1	2	yes	complemented
104	C₂×#14556564	C₂²	1	2	yes	complemented
105	C₂×#14556564	C₂²	1	2	yes	complemented
106	C₂×#14556564	C₂²	1	2	yes	complemented
107	C₂×#14556563	C₂²	1	2	yes	complemented
108	C₂×#14556561	C₂²	1	2	yes	—
109	C₂×#14556561	C₂²	1	2	yes	complemented
110	C₂×#14556561	C₂²	1	2	yes	complemented
111	C₂×#14556561	C₂²	1	2	yes	complemented
112	C₂×#14556561	C₂²	1	2	yes	complemented
113	C₂×#14556561	C₂²	1	2	yes	complemented
114	C₂×#14556561	C₂²	1	2	yes	complemented
115	C₂×#14556559	C₂²	1	2	yes	—
116	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14556556	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×D₂₉₂	C₂²	1	2	yes	complemented
119	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14556553	C₂²	1	1	yes	characteristic
121	C₂×#14556553	C₂²	1	1	yes	characteristic, complemented
122	C₂×#14556553	C₂²	1	2	yes	complemented
123	C₂×#14556553	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
125	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
126	C₂×#14556551	C₂²	1	2	yes	complemented
127	C₂×#14556551	C₂²	1	2	yes	complemented
128	C₂×#14556551	C₂²	1	2	yes	complemented
129	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
130	C₂×#14556548	C₂²	1	2	yes	complemented
131	C₂×C₄⋊C₄×D₇₃	C₂²	1	2	yes	complemented
132	C₂²×#11924005	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
135	#542×C₇₃	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
138	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
139	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
142	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₃	C₂³	1	2	yes	—
148	C₂⁴×D₇₃	C₂³	1	2	yes	—
149	C₂×#11924029	—	4	4	no	—
150	C₂×#11924029	—	4	4	no	—
151	C₂×#11924029	—	4	8	no	—
152	C₂×#11924029	C₂³	1	8	yes	complemented
153	C₂×#11924029	C₂³	1	16	yes	complemented
154	C₂×#11924029	C₂³	1	8	yes	complemented
155	C₂×#11924028	—	4	4	no	—
156	C₂×#11924028	—	4	8	no	—
157	C₂×#11924028	C₂³	1	8	yes	complemented
158	C₂×#11924028	C₂³	1	16	yes	complemented
159	C₂×#11924027	—	4	4	no	—
160	C₂×#11924027	C₂³	1	8	yes	complemented
161	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
162	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
163	C₂²×D₂₉₂	—	4	4	no	—
164	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
165	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
166	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
167	C₂²×D₂₉₂	C₂³	1	2	yes	—
168	C₂²×D₂₉₂	C₂³	1	2	yes	—
169	C₂²×D₂₉₂	C₂³	1	2	yes	—
170	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
171	C₂²×D₂₉₂	C₂³	1	2	yes	—
172	C₂²×D₂₉₂	C₂³	1	2	yes	—
173	C₂²×D₂₉₂	C₂³	1	2	yes	—
174	C₂²×D₂₉₂	C₂³	1	2	yes	—
175	C₂²×D₂₉₂	C₂³	1	2	yes	—
176	C₂²×D₂₉₂	C₂³	1	8	yes	—
177	C₂²×D₂₉₂	C₂³	1	2	yes	—
178	C₂²×D₂₉₂	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
181	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
183	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
184	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
185	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
186	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
187	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
188	C₂×D₄×D₇₃	—	4	4	no	—
189	C₂×D₄×D₇₃	—	4	8	no	—
190	C₂×D₄×D₇₃	C₂³	1	16	yes	—
191	C₂×D₄×D₇₃	C₂³	1	8	yes	—
192	C₂³×Dic₇₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
195	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
197	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
199	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
200	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
201	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
202	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
203	#14556589	C₂³	1	8	yes	complemented
204	#14556588	C₂³	1	8	yes	—
205	#14556588	C₂³	1	16	yes	complemented
206	#14556588	C₂³	1	8	yes	complemented
207	#14556587	C₂³	1	8	yes	—
208	#14556587	C₂³	1	8	yes	complemented
209	#14556587	C₂³	1	16	yes	complemented
210	#14556586	C₂³	1	8	yes	complemented
211	#14556586	C₂³	1	16	yes	complemented
212	#14556586	C₂³	1	16	yes	complemented
213	#14556585	C₂³	1	16	yes	complemented
214	#14556584	C₂³	1	8	yes	complemented
215	#14556581	C₂³	1	8	yes	complemented
216	#14556580	C₂³	1	8	yes	—
217	#14556580	C₂³	1	16	yes	complemented
218	#14556580	C₂³	1	16	yes	complemented
219	#14556579	C₂³	1	8	yes	—
220	#14556579	C₂³	1	8	yes	complemented
221	#14556577	C₂³	1	8	yes	—
222	#14556576	C₂³	1	16	yes	complemented
223	#14556576	C₂³	1	16	yes	complemented
224	#14556576	C₂³	1	16	yes	complemented
225	#14556576	C₂³	1	8	yes	complemented
226	#14556575	C₂³	1	16	yes	complemented
227	#14556573	C₂³	1	16	yes	complemented
228	#14556573	C₂³	1	8	yes	complemented
229	#14556571	C₂³	1	8	yes	complemented
230	#14556569	C₂³	1	8	yes	complemented
231	#14556569	C₂³	1	16	yes	complemented
232	#14556567	C₂³	1	16	yes	complemented
233	#14556566	C₂³	1	8	yes	—
234	#14556566	C₂³	1	8	yes	—
235	#14556566	C₂³	1	8	yes	complemented
236	#14556566	C₂³	1	16	yes	complemented
237	#14556566	C₂³	1	16	yes	complemented
238	#14556566	C₂³	1	16	yes	complemented
239	#14556566	C₂³	1	16	yes	complemented
240	#14556566	C₂³	1	16	yes	complemented
241	#14556566	C₂³	1	16	yes	complemented
242	#14556565	C₂³	1	16	yes	complemented
243	#14556565	C₂³	1	16	yes	complemented
244	#14556564	C₂³	1	8	yes	—
245	#14556564	C₂³	1	16	yes	—
246	#14556564	C₂³	1	16	yes	—
247	#14556564	C₂³	1	16	yes	complemented
248	#14556564	C₂³	1	16	yes	complemented
249	#14556564	C₂³	1	16	yes	complemented
250	#14556564	C₂³	1	16	yes	complemented
251	#14556564	C₂³	1	16	yes	complemented
252	#14556564	C₂³	1	16	yes	complemented
253	#14556564	C₂³	1	16	yes	complemented
254	#14556563	C₂³	1	16	yes	complemented
255	#14556561	C₂³	1	16	yes	—
256	#14556561	C₂³	1	16	yes	complemented
257	#14556561	C₂³	1	16	yes	complemented
258	#14556561	C₂³	1	16	yes	complemented
259	#14556561	C₂³	1	16	yes	complemented
260	#14556561	C₂³	1	16	yes	complemented
261	#14556561	C₂³	1	16	yes	complemented
262	#14556559	C₂³	1	16	yes	—
263	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
264	#14556556	C₂³	1	8	yes	complemented
265	C₄×D₂₉₂	C₂³	1	16	yes	complemented
266	C₄×D₂₉₂	C₂³	1	8	yes	complemented
267	#14556553	C₂³	1	8	yes	—
268	#14556553	C₂³	1	16	yes	complemented
269	#14556553	C₂³	1	8	yes	complemented
270	#14556553	C₂³	1	8	yes	complemented
271	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
272	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
273	#14556551	C₂³	1	16	yes	complemented
274	#14556551	C₂³	1	16	yes	complemented
275	#14556551	C₂³	1	16	yes	complemented
276	#14556548	C₂³	1	8	yes	complemented
277	#14556548	C₂³	1	16	yes	complemented
278	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
279	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
281	C₂×#11924007	C₂³	1	2	yes	—
282	C₂×#11924007	C₂³	1	2	yes	—
283	C₂×#11924007	C₂³	1	1	yes	characteristic
284	C₂×#11924007	C₂³	1	1	yes	characteristic
285	C₂×#11924007	C₂³	1	1	yes	characteristic
286	C₂×#11924007	C₂³	1	1	yes	characteristic
287	C₂×#11924007	C₂³	1	1	yes	characteristic
288	C₂×#11924007	C₂³	1	2	yes	—
289	C₂×#11924007	C₂³	1	1	yes	characteristic
290	C₄⋊C₄×D₇₃	C₂³	1	16	yes	complemented
291	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
293	C₂×#11924005	C₂³	1	2	yes	—
294	C₂×#11924005	C₂³	1	2	yes	—
295	C₂×#11924005	C₂³	1	1	yes	characteristic
296	C₂×#11924005	C₂³	1	2	yes	—
297	C₂×#11924005	C₂³	1	2	yes	—
298	C₂×#11924005	C₂³	1	1	yes	characteristic
299	C₂×#11924005	C₂³	1	2	yes	—
300	C₂×#11924005	C₂³	1	2	yes	—
301	C₂×#11924005	C₂³	1	1	yes	characteristic
302	C₂×#11924005	C₂³	1	2	yes	—
303	C₂×#11924005	C₂³	1	2	yes	—
304	C₂×#11924005	C₂³	1	2	yes	—
305	C₂×#11924005	C₂³	1	1	yes	characteristic
306	C₂×#11924005	C₂³	1	1	yes	characteristic
307	C₂×#11924005	C₂³	1	2	yes	—
308	C₂×#11924005	C₂³	1	2	yes	—
309	C₂×#11924005	C₂³	1	2	yes	—
310	C₂×#11924005	C₂³	1	2	yes	—
311	C₂×#11924005	C₂³	1	1	yes	characteristic
312	C₂×#11924005	C₂³	1	16	yes	complemented
313	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
314	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
316	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
319	C₄²×D₇₃	C₂³	1	8	yes	complemented
320	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
321	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
322	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
324	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
326	C₄⋊Q₈×C₇₃	C₂³	1	8	yes	complemented
327	#126×C₇₃	C₂³	1	16	yes	complemented
328	#124×C₇₃	C₂³	1	8	yes	complemented
329	#124×C₇₃	C₂³	1	16	yes	complemented
330	#123×C₇₃	C₂³	1	16	yes	complemented
331	C₂²⋊Q₈×C₇₃	C₂³	1	16	yes	complemented
332	C₂²⋊Q₈×C₇₃	C₂³	1	8	yes	complemented
333	#121×C₇₃	C₂³	1	8	yes	—
334	C₄×Q₈×C₇₃	C₂³	1	8	yes	complemented
335	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
336	#117×C₇₃	C₂³	1	8	yes	complemented
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
342	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
343	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
350	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
351	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
354	C₂³×D₇₃	—	4	4	no	—
355	C₂³×D₇₃	—	4	4	no	—
356	C₂³×D₇₃	—	4	4	no	—
357	C₂³×D₇₃	—	4	4	no	—
358	C₂³×D₇₃	—	4	4	no	—
359	C₂³×D₇₃	—	4	4	no	—
360	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₇₃	C₂⁴	1	2	yes	—
362	C₂³×D₇₃	C₂⁴	1	2	yes	—
363	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
364	C₂³×D₇₃	C₂⁴	1	2	yes	—
365	C₂³×D₇₃	C₂⁴	1	8	yes	—
366	C₂³×D₇₃	C₂⁴	1	8	yes	—
367	#11924029	—	4	32	no	—
368	#11924029	—	4	16	no	—
369	#11924029	—	4	16	no	—
370	#11924028	—	4	32	no	—
371	#11924028	—	4	16	no	—
372	#11924027	—	4	16	no	—
373	C₂×Dic₁₄₆	—	2	4	no	—
374	C₂×Dic₁₄₆	—	2	4	no	—
375	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
376	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
377	C₂×D₂₉₂	—	2	4	no	—
378	C₂×D₂₉₂	—	2	4	no	—
379	C₂×D₂₉₂	—	2	4	no	—
380	C₂×D₂₉₂	—	4	16	no	—
381	C₂×D₂₉₂	—	4	4	no	—
382	C₂×D₂₉₂	—	4	4	no	—
383	C₂×D₂₉₂	—	4	4	no	—
384	C₂×D₂₉₂	—	4	2	no	—
385	C₂×D₂₉₂	—	4	4	no	—
386	C₂×D₂₉₂	—	4	4	no	—
387	C₂×D₂₉₂	—	4	4	no	—
388	C₂×D₂₉₂	—	4	4	no	—
389	C₂×D₂₉₂	—	4	4	no	—
390	C₂×D₂₉₂	—	4	4	no	—
391	C₂×D₂₉₂	—	4	4	no	—
392	C₂×D₂₉₂	C₂⁴	1	4	yes	—
393	C₂×D₂₉₂	C₂⁴	1	4	yes	—
394	C₂×D₂₉₂	C₂⁴	1	4	yes	—
395	C₂×D₂₉₂	C₂⁴	1	8	yes	—
396	C₂×D₂₉₂	C₂⁴	1	4	yes	—
397	C₂×D₂₉₂	C₂⁴	1	8	yes	—
398	C₂×D₂₉₂	C₂⁴	1	8	yes	—
399	C₂×D₂₉₂	C₂⁴	1	8	yes	—
400	C₂×D₂₉₂	C₂⁴	1	8	yes	—
401	C₂×D₂₉₂	C₂⁴	1	8	yes	—
402	C₂×D₂₉₂	C₂⁴	1	8	yes	—
403	C₂×D₂₉₂	C₂⁴	1	8	yes	—
404	C₂×D₂₉₂	C₂⁴	1	8	yes	—
405	C₂×D₂₉₂	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₇₃	—	2	4	no	—
407	C₂×C₂²⋊D₇₃	—	2	8	no	—
408	C₂×C₂²⋊D₇₃	—	4	4	no	—
409	C₂×C₂²⋊D₇₃	—	4	4	no	—
410	C₂×C₂²⋊D₇₃	—	4	2	no	—
411	C₂×C₂²⋊D₇₃	—	4	4	no	—
412	C₂×C₂²⋊D₇₃	—	4	4	no	—
413	C₂×C₂²⋊D₇₃	—	4	4	no	—
414	C₂×C₂²⋊D₇₃	—	4	4	no	—
415	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
417	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
419	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
420	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
421	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
423	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
424	D₄×D₇₃	—	4	16	no	—
425	D₄×D₇₃	—	4	32	no	—
426	C₂²×Dic₇₃	—	4	4	no	—
427	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
431	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
434	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
435	C₂×C₄×D₇₃	—	2	4	no	—
436	C₂×C₄×D₇₃	—	2	4	no	—
437	C₂×C₄×D₇₃	—	2	8	no	—
438	C₂×C₄×D₇₃	—	2	8	no	—
439	C₂×C₄×D₇₃	—	2	4	no	—
440	C₂×C₄×D₇₃	—	4	2	no	—
441	C₂×C₄×D₇₃	—	4	4	no	—
442	C₂×C₄×D₇₃	—	4	4	no	—
443	C₂×C₄×D₇₃	—	4	4	no	—
444	C₂×C₄×D₇₃	—	4	4	no	—
445	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
446	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
447	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
448	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
449	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
450	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
451	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
452	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
453	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
454	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
455	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
456	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
457	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
458	#11924007	C₂⁴	1	4	yes	—
459	#11924007	C₂⁴	1	8	yes	—
460	#11924007	C₂⁴	1	4	yes	—
461	#11924007	C₂⁴	1	4	yes	—
462	#11924007	C₂⁴	1	4	yes	—
463	#11924007	C₂⁴	1	4	yes	—
464	#11924007	C₂⁴	1	8	yes	—
465	#11924007	C₂⁴	1	8	yes	—
466	#11924007	C₂⁴	1	4	yes	—
467	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
469	#11924005	C₂⁴	1	8	yes	—
470	#11924005	C₂⁴	1	8	yes	—
471	#11924005	C₂⁴	1	4	yes	—
472	#11924005	C₂⁴	1	8	yes	—
473	#11924005	C₂⁴	1	8	yes	—
474	#11924005	C₂⁴	1	4	yes	—
475	#11924005	C₂⁴	1	8	yes	—
476	#11924005	C₂⁴	1	8	yes	—
477	#11924005	C₂⁴	1	4	yes	—
478	#11924005	C₂⁴	1	8	yes	—
479	#11924005	C₂⁴	1	8	yes	—
480	#11924005	C₂⁴	1	8	yes	—
481	#11924005	C₂⁴	1	4	yes	—
482	#11924005	C₂⁴	1	4	yes	—
483	#11924005	C₂⁴	1	8	yes	—
484	#11924005	C₂⁴	1	8	yes	—
485	#11924005	C₂⁴	1	8	yes	—
486	#11924005	C₂⁴	1	8	yes	—
487	#11924005	C₂⁴	1	4	yes	—
488	C₄×Dic₇₃	C₂⁴	1	4	yes	—
489	C₄×Dic₇₃	C₂⁴	1	4	yes	—
490	C₄×Dic₇₃	C₂⁴	1	4	yes	—
491	C₄×Dic₇₃	C₂⁴	1	8	yes	—
492	C₄×Dic₇₃	C₂⁴	1	4	yes	—
493	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
494	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
495	C₂×Q₈×C₇₃	—	2	4	no	—
496	C₂×Q₈×C₇₃	—	4	4	no	—
497	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
498	C₂×Q₈×C₇₃	C₂⁴	1	8	yes	—
499	C₂×D₄×C₇₃	—	2	4	no	—
500	C₂×D₄×C₇₃	—	4	4	no	—
501	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
502	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
503	C₂²×C₄×C₇₃	—	2	4	no	—
504	C₂²×C₄×C₇₃	—	4	4	no	—
505	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
508	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
511	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
513	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
514	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
515	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
516	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
518	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
519	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
522	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
523	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
524	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
525	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
527	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
528	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
529	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
530	C₄²×C₇₃	C₂⁴	1	4	yes	—
531	C₄²×C₇₃	C₂⁴	1	4	yes	—
532	C₄²×C₇₃	C₂⁴	1	8	yes	—
533	C₂³×C₇₃	—	2	2	no	—
534	C₂³×C₇₃	—	2	4	no	—
535	C₂³×C₇₃	—	2	4	no	—
536	C₂³×C₇₃	—	2	2	no	—
537	C₂³×C₇₃	—	2	4	no	—
538	C₂³×C₇₃	—	2	2	no	—
539	C₂³×C₇₃	C₂⁵	1	2	yes	—
540	C₂³×C₇₃	C₂⁵	1	4	yes	—
541	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
542	C₂²×D₇₃	—	2	2	no	—
543	C₂²×D₇₃	—	2	4	no	—
544	C₂²×D₇₃	—	2	2	no	—
545	C₂²×D₇₃	—	2	4	no	—
546	C₂²×D₇₃	—	2	2	no	—
547	C₂²×D₇₃	—	2	4	no	—
548	C₂²×D₇₃	—	2	4	no	—
549	C₂²×D₇₃	—	2	4	no	—
550	C₂²×D₇₃	—	2	2	no	—
551	C₂²×D₇₃	—	2	4	no	—
552	C₂²×D₇₃	—	2	2	no	—
553	C₂²×D₇₃	—	2	4	no	—
554	C₂²×D₇₃	—	2	4	no	—
555	C₂²×D₇₃	—	2	2	no	—
556	C₂²×D₇₃	—	2	4	no	—
557	C₂²×D₇₃	—	4	8	no	—
558	C₂²×D₇₃	—	4	8	no	—
559	C₂²×D₇₃	—	4	8	no	—
560	C₂²×D₇₃	—	4	8	no	—
561	C₂²×D₇₃	—	4	8	no	—
562	C₂²×D₇₃	—	4	8	no	—
563	C₂²×D₇₃	—	8	16	no	—
564	C₂²×D₇₃	—	8	16	no	—
565	C₂²×D₇₃	C₂⁵	1	4	yes	—
566	C₂²×D₇₃	C₂⁵	1	2	yes	—
567	C₂²×D₇₃	C₂⁵	1	4	yes	—
568	C₂²×D₇₃	C₂⁵	1	2	yes	—
569	C₂²×D₇₃	C₂⁵	1	4	yes	—
570	Q₈×C₇₃	—	2	8	no	—
571	Q₈×C₇₃	—	4	8	no	—
572	D₄×C₇₃	—	2	8	no	—
573	D₄×C₇₃	—	4	8	no	—
574	C₂×C₄×C₇₃	—	2	2	no	—
575	C₂×C₄×C₇₃	—	2	2	no	—
576	C₂×C₄×C₇₃	—	2	4	no	—
577	C₂×C₄×C₇₃	—	2	4	no	—
578	C₂×C₄×C₇₃	—	2	4	no	—
579	C₂×C₄×C₇₃	—	2	2	no	—
580	C₂×C₄×C₇₃	—	2	2	no	—
581	C₂×C₄×C₇₃	—	2	2	no	—
582	C₂×C₄×C₇₃	—	2	8	no	—
583	C₂×C₄×C₇₃	—	4	8	no	—
584	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
585	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
586	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
587	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
588	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
589	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
590	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
591	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
592	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
593	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
594	C₂²⋊D₇₃	—	2	8	no	—
595	C₂²⋊D₇₃	—	2	16	no	—
596	C₂²⋊D₇₃	—	4	8	no	—
597	C₂²⋊D₇₃	—	4	8	no	—
598	C₂²⋊D₇₃	—	4	4	no	—
599	C₂²⋊D₇₃	—	4	8	no	—
600	C₂²⋊D₇₃	—	4	8	no	—
601	C₂²⋊D₇₃	—	4	8	no	—
602	C₂²⋊D₇₃	—	4	8	no	—
603	C₂×Dic₇₃	—	2	2	no	—
604	C₂×Dic₇₃	—	2	2	no	—
605	C₂×Dic₇₃	—	2	2	no	—
606	C₂×Dic₇₃	—	2	4	no	—
607	C₂×Dic₇₃	—	2	2	no	—
608	C₂×Dic₇₃	—	2	2	no	—
609	C₂×Dic₇₃	—	4	8	no	—
610	C₂×Dic₇₃	H(5,𝔽₂)	1	4	yes	—
611	C₂×Dic₇₃	C₂⁵	1	2	yes	—
612	C₂×Dic₇₃	C₂⁵	1	2	yes	—
613	C₂×Dic₇₃	C₂⁵	1	2	yes	—
614	C₂×Dic₇₃	C₂⁵	1	4	yes	—
615	C₂×Dic₇₃	C₂⁵	1	2	yes	—
616	C₂×Dic₇₃	C₂⁵	1	2	yes	—
617	C₂×Dic₇₃	C₂⁵	1	2	yes	—
618	D₂₉₂	—	2	8	no	—
619	D₂₉₂	—	2	8	no	—
620	D₂₉₂	—	2	8	no	—
621	D₂₉₂	—	4	8	no	—
622	D₂₉₂	—	4	8	no	—
623	D₂₉₂	—	4	8	no	—
624	D₂₉₂	—	4	4	no	—
625	D₂₉₂	—	4	8	no	—
626	D₂₉₂	—	4	8	no	—
627	D₂₉₂	—	4	8	no	—
628	D₂₉₂	—	4	8	no	—
629	D₂₉₂	—	4	8	no	—
630	D₂₉₂	—	4	8	no	—
631	D₂₉₂	—	4	8	no	—
632	C₄×D₇₃	—	2	8	no	—
633	C₄×D₇₃	—	2	8	no	—
634	C₄×D₇₃	—	2	16	no	—
635	C₄×D₇₃	—	2	16	no	—
636	C₄×D₇₃	—	2	8	no	—
637	C₄×D₇₃	—	4	4	no	—
638	C₄×D₇₃	—	4	8	no	—
639	C₄×D₇₃	—	4	8	no	—
640	C₄×D₇₃	—	4	8	no	—
641	C₄×D₇₃	—	4	8	no	—
642	Dic₁₄₆	—	2	8	no	—
643	Dic₁₄₆	—	2	8	no	—
644	C₂²×C₇₃	—	2	4	no	—
645	C₂²×C₇₃	—	2	4	no	—
646	C₂²×C₇₃	—	2	2	no	—
647	C₂²×C₇₃	—	2	2	no	—
648	C₂²×C₇₃	—	2	4	no	—
649	C₂²×C₇₃	—	2	2	no	—
650	C₂²×C₇₃	—	4	4	no	—
651	C₂²×C₇₃	—	4	8	no	—
652	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
653	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
654	C₂²×C₇₃	#585	1	2	yes	—
655	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
656	C₂×D₇₃	—	2	2	no	—
657	C₂×D₇₃	—	2	4	no	—
658	C₂×D₇₃	—	2	2	no	—
659	C₂×D₇₃	—	2	4	no	—
660	C₂×D₇₃	—	2	2	no	—
661	C₂×D₇₃	—	2	4	no	—
662	C₂×D₇₃	—	2	4	no	—
663	C₂×D₇₃	—	2	4	no	—
664	C₂×D₇₃	—	2	4	no	—
665	C₂×D₇₃	—	2	2	no	—
666	C₂×D₇₃	—	2	2	no	—
667	C₂×D₇₃	—	2	4	no	—
668	C₂×D₇₃	—	2	4	no	—
669	C₂×D₇₃	—	2	4	no	—
670	C₂×D₇₃	—	2	2	no	—
671	C₂×D₇₃	—	4	4	no	—
672	C₂×D₇₃	—	4	8	no	—
673	C₂×D₇₃	—	4	8	no	—
674	C₂×D₇₃	—	4	4	no	—
675	C₂×D₇₃	—	4	8	no	—
676	C₂×D₇₃	—	8	16	no	—
677	C₂×D₇₃	—	8	16	no	—
678	C₄×C₇₃	—	2	2	no	—
679	C₄×C₇₃	—	2	4	no	—
680	C₄×C₇₃	—	2	4	no	—
681	C₄×C₇₃	—	2	2	no	—
682	C₄×C₇₃	—	2	2	no	—
683	C₄×C₇₃	—	2	4	no	—
684	C₄×C₇₃	—	2	2	no	—
685	C₄×C₇₃	—	2	2	no	—
686	C₄×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
687	Dic₇₃	—	2	2	no	—
688	Dic₇₃	—	2	4	no	—
689	Dic₇₃	—	2	2	no	—
690	Dic₇₃	—	2	2	no	—
691	Dic₇₃	—	2	2	no	—
692	Dic₇₃	—	2	2	no	—
693	Dic₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
694	C₂×#3546	—	73	1	no	maximal, Sylow
695	C₂×C₇₃	—	4	2	no	—
696	C₂×C₇₃	—	4	4	no	—
697	C₂×C₇₃	#3546	1	4	yes	complemented
698	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
700	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
701	D₇₃	—	4	2	no	—
702	D₇₃	—	4	4	no	—
703	D₇₃	—	4	4	no	—
704	D₇₃	—	4	4	no	—
705	D₇₃	—	4	2	no	—
706	#3546	—	73	32	no	—
707	C₂×#560	—	73	2	no	—
708	C₂×#560	—	73	2	no	—
709	C₂×#556	—	73	1	no	—
710	C₂×#553	—	73	2	no	—
711	C₂×#550	—	73	1	no	—
712	C₂×#550	—	73	1	no	—
713	C₂×#550	—	73	1	no	—
714	C₂×#547	—	73	1	no	—
715	C₂×#546	—	73	2	no	—
716	C₂×#546	—	73	1	no	—
717	C₂×#546	—	73	1	no	—
718	C₂×D₄²	—	73	1	no	—
719	C₂×#542	—	73	1	no	—
720	C₂×#542	D₇₃	1	1	yes	characteristic, complemented
721	C₂×#538	—	73	2	no	—
722	C₂×#538	—	73	2	no	—
723	C₂×#537	—	73	2	no	—
724	C₂×#535	—	73	1	no	—
725	C₂×#535	—	73	2	no	—
726	C₂×#535	—	73	1	no	—
727	C₂×#532	—	73	1	no	—
728	C₂×#532	—	73	1	no	—
729	C₂×#529	—	73	1	no	—
730	C₇₃	C₂×#3546	1	1	yes	characteristic, complemented, Sylow
731	C₂²×#41	—	73	2	no	—
732	C₂²×#41	—	73	1	no	—
733	C₂²×#41	—	73	1	no	—
734	C₂²×#41	—	73	1	no	—
735	C₂²×#41	—	73	1	no	—
736	C₂²×#41	—	73	2	no	—
737	C₂³×D₄	—	73	1	no	—
738	C₂³×D₄	—	73	2	no	—
739	C₂³×D₄	—	73	1	no	—
740	#560	—	73	32	no	—
741	#560	—	73	32	no	—
742	#556	—	73	16	no	—
743	#553	—	73	32	no	—
744	#550	—	73	16	no	—
745	#550	—	73	16	no	—
746	#550	—	73	16	no	—
747	#547	—	73	16	no	—
748	#546	—	73	32	no	—
749	#546	—	73	16	no	—
750	#546	—	73	16	no	—
751	D₄²	—	73	16	no	—
752	#542	—	73	16	no	—
753	#542	C₂×D₇₃	1	16	yes	complemented
754	#538	—	73	32	no	—
755	#538	—	73	32	no	—
756	#537	—	73	32	no	—
757	#535	—	73	16	no	—
758	#535	—	73	32	no	—
759	#535	—	73	16	no	—
760	#532	—	73	16	no	—
761	#532	—	73	16	no	—
762	C₂×C₄⋊Q₈	—	73	1	no	—
763	C₂×C₄⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
764	C₂×#127	—	73	1	no	—
765	C₂×#127	—	73	1	no	—
766	C₂×#127	—	73	2	no	—
767	C₂×#127	—	73	1	no	—
768	C₂×#127	—	73	1	no	—
769	C₂×#127	—	73	2	no	—
770	#529	—	73	16	no	—
771	C₂×#126	—	73	1	no	—
772	C₂×#126	—	73	2	no	—
773	C₂×#126	—	73	2	no	—
774	C₂×#126	—	73	1	no	—
775	C₂×#126	—	73	2	no	—
776	C₂×#126	C₂×D₇₃	1	2	yes	complemented
777	C₂×#125	—	73	1	no	—
778	C₂×#124	—	73	2	no	—
779	C₂×#124	—	73	2	no	—
780	C₂×#124	—	73	1	no	—
781	C₂×#124	—	73	1	no	—
782	C₂×#124	—	73	1	no	—
783	C₂×#124	—	73	1	no	—
784	C₂×#124	C₂×D₇₃	1	1	yes	characteristic, complemented
785	C₂×#124	C₂×D₇₃	1	2	yes	complemented
786	C₂×#123	—	73	1	no	—
787	C₂×#123	—	73	2	no	—
788	C₂×#123	—	73	2	no	—
789	C₂×#123	—	73	2	no	—
790	C₂×#123	—	73	1	no	—
791	C₂×#123	—	73	2	no	—
792	C₂×#123	—	73	2	no	—
793	C₂×#123	C₂×D₇₃	1	2	yes	complemented
794	C₂×C₂²⋊Q₈	—	73	2	no	—
795	C₂×C₂²⋊Q₈	—	73	1	no	—
796	C₂×C₂²⋊Q₈	—	73	2	no	—
797	C₂×C₂²⋊Q₈	—	73	1	no	—
798	C₂×C₂²⋊Q₈	C₂×D₇₃	1	2	yes	complemented
799	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
800	C₂×#121	—	73	2	no	—
801	C₂×#121	—	73	2	no	—
802	C₂×#121	—	73	2	no	—
803	C₂×#121	—	73	1	no	—
804	C₂×#121	—	73	1	no	—
805	C₂×#121	—	73	2	no	—
806	C₂×#121	—	73	2	no	—
807	C₂×#121	—	73	2	no	—
808	C₂×#121	—	73	2	no	—
809	C₂×#121	—	73	2	no	—
810	C₂×#121	—	73	2	no	—
811	C₂×#121	—	73	1	no	—
812	C₂×#121	—	73	1	no	—
813	C₂×#121	—	73	2	no	—
814	C₂×#121	—	73	2	no	—
815	C₂×#121	—	73	2	no	—
816	C₂×#121	—	73	2	no	—
817	C₂×#121	—	73	2	no	—
818	C₂×#121	—	73	2	no	—
819	C₂×#121	—	73	2	no	—
820	C₂×#121	—	73	2	no	—
821	C₂×#121	—	73	2	no	—
822	C₂×#121	C₂×D₇₃	1	1	yes	characteristic
823	C₂×#120	—	73	2	no	—
824	C₂×#120	—	73	2	no	—
825	C₂×#120	—	73	2	no	—
826	C₂×#120	—	73	2	no	—
827	C₂×#120	—	73	2	no	—
828	C₂×#120	—	73	2	no	—
829	C₂×#120	—	73	2	no	—
830	C₂×#120	—	73	2	no	—
831	C₂×C₄×Q₈	—	73	1	no	—
832	C₂×C₄×Q₈	—	73	1	no	—
833	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
834	C₂×C₄×D₄	—	73	1	no	—
835	C₂×C₄×D₄	—	73	1	no	—
836	C₂×C₄×D₄	—	73	1	no	—
837	C₂×C₄×D₄	—	73	2	no	—
838	C₂×C₄×D₄	—	73	1	no	—
839	C₂×C₄×D₄	—	73	1	no	—
840	C₂×C₄×D₄	—	73	2	no	—
841	C₂×C₄×D₄	—	73	2	no	—
842	C₂×C₄×D₄	—	73	2	no	—
843	C₂×C₄×D₄	—	73	1	no	—
844	C₂×C₄×D₄	—	73	2	no	—
845	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
846	C₂×#117	—	73	1	no	—
847	C₂×#117	—	73	2	no	—
848	C₂×#117	C₂×D₇₃	1	1	yes	characteristic, complemented
849	C₂²×C₄⋊C₄	—	73	2	no	—
850	C₂²×C₂²⋊C₄	—	73	2	no	—
851	C₂²×C₂²⋊C₄	—	73	2	no	—
852	C₂²×C₄²	—	73	1	no	—
853	C₂⁵	—	73	2	no	—
854	C₂⁵	—	73	2	no	—
855	C₂×#41	—	292	4	no	—
856	C₂×#41	—	292	8	no	—
857	C₂×#41	—	292	4	no	—
858	C₂×#41	—	292	4	no	—
859	C₂×#41	—	292	4	no	—
860	C₂×#41	—	292	8	no	—
861	C₂×#41	—	73	16	no	—
862	C₂×#41	—	73	8	no	—
863	C₂×#41	—	73	8	no	—
864	C₂×#41	—	73	8	no	—
865	C₂×#41	—	73	8	no	—
866	C₂×#41	—	73	16	no	—
867	C₂²×Q₈	—	73	1	no	—
868	C₂²×Q₈	—	73	1	no	—
869	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
870	C₂²×Q₈	C₂²×D₇₃	1	2	yes	—
871	C₂²×D₄	—	292	4	no	—
872	C₂²×D₄	—	292	4	no	—
873	C₂²×D₄	—	292	8	no	—
874	C₂²×D₄	—	73	2	no	—
875	C₂²×D₄	—	73	1	no	—
876	C₂²×D₄	—	73	2	no	—
877	C₂²×D₄	—	73	2	no	—
878	C₂²×D₄	—	73	2	no	—
879	C₂²×D₄	—	73	2	no	—
880	C₂²×D₄	—	73	2	no	—
881	C₂²×D₄	—	73	8	no	—
882	C₂²×D₄	—	73	16	no	—
883	C₂²×D₄	—	73	1	no	—
884	C₂²×D₄	—	73	2	no	—
885	C₂²×D₄	—	73	2	no	—
886	C₂²×D₄	—	73	1	no	—
887	C₂²×D₄	—	73	2	no	—
888	C₂²×D₄	—	73	2	no	—
889	C₂²×D₄	—	73	2	no	—
890	C₂²×D₄	—	73	2	no	—
891	C₂²×D₄	—	73	2	no	—
892	C₂²×D₄	—	73	2	no	—
893	C₂²×D₄	—	73	2	no	—
894	C₂²×D₄	—	73	2	no	—
895	C₂²×D₄	—	73	2	no	—
896	C₂²×D₄	—	73	8	no	—
897	C₂²×D₄	—	73	1	no	—
898	C₂²×D₄	—	73	1	no	—
899	C₂²×D₄	—	73	1	no	—
900	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
901	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
902	C₂³×C₄	—	73	2	no	—
903	C₂³×C₄	—	73	2	no	—
904	C₂³×C₄	—	73	2	no	—
905	C₂³×C₄	—	73	2	no	—
906	C₂³×C₄	—	73	2	no	—
907	C₂³×C₄	—	73	1	no	—
908	C₂³×C₄	—	73	2	no	—
909	C₂³×C₄	—	73	2	no	—
910	C₂³×C₄	—	73	1	no	—
911	C₂³×C₄	—	73	1	no	—
912	C₂³×C₄	—	73	1	no	—
913	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
914	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
915	C₄⋊Q₈	—	73	8	no	—
916	C₄⋊Q₈	C₂²×D₇₃	1	8	yes	complemented
917	#127	—	73	8	no	—
918	#127	—	73	8	no	—
919	#127	—	73	16	no	—
920	#127	—	73	8	no	—
921	#127	—	73	8	no	—
922	#127	—	73	16	no	—
923	#126	—	73	8	no	—
924	#126	—	73	16	no	—
925	#126	—	73	16	no	—
926	#126	—	73	8	no	—
927	#126	—	73	16	no	—
928	#126	C₂²×D₇₃	1	16	yes	complemented
929	#125	—	73	8	no	—
930	#124	—	73	16	no	—
931	#124	—	73	16	no	—
932	#124	—	73	8	no	—
933	#124	—	73	8	no	—
934	#124	—	73	8	no	—
935	#124	—	73	8	no	—
936	#124	C₂²×D₇₃	1	8	yes	complemented
937	#124	C₂²×D₇₃	1	16	yes	complemented
938	#123	—	73	8	no	—
939	#123	—	73	16	no	—
940	#123	—	73	16	no	—
941	#123	—	73	16	no	—
942	#123	—	73	8	no	—
943	#123	—	73	16	no	—
944	#123	—	73	16	no	—
945	#123	C₂²×D₇₃	1	16	yes	complemented
946	C₂²⋊Q₈	—	73	16	no	—
947	C₂²⋊Q₈	—	73	8	no	—
948	C₂²⋊Q₈	—	73	16	no	—
949	C₂²⋊Q₈	—	73	8	no	—
950	C₂²⋊Q₈	C₂²×D₇₃	1	16	yes	complemented
951	C₂²⋊Q₈	C₂²×D₇₃	1	8	yes	complemented
952	#121	—	73	16	no	—
953	#121	—	73	16	no	—
954	#121	—	73	16	no	—
955	#121	—	73	8	no	—
956	#121	—	73	8	no	—
957	#121	—	73	16	no	—
958	#121	—	73	16	no	—
959	#121	—	73	16	no	—
960	#121	—	73	16	no	—
961	#121	—	73	16	no	—
962	#121	—	73	16	no	—
963	#121	—	73	8	no	—
964	#121	—	73	8	no	—
965	#121	—	73	16	no	—
966	#121	—	73	16	no	—
967	#121	—	73	16	no	—
968	#121	—	73	16	no	—
969	#121	—	73	16	no	—
970	#121	—	73	16	no	—
971	#121	—	73	16	no	—
972	#121	—	73	16	no	—
973	#121	—	73	16	no	—
974	#121	C₂²×D₇₃	1	8	yes	—
975	#120	—	73	16	no	—
976	#120	—	73	16	no	—
977	#120	—	73	16	no	—
978	#120	—	73	16	no	—
979	#120	—	73	16	no	—
980	#120	—	73	16	no	—
981	#120	—	73	16	no	—
982	#120	—	73	16	no	—
983	C₄×Q₈	—	73	8	no	—
984	C₄×Q₈	—	73	8	no	—
985	C₄×Q₈	C₂²×D₇₃	1	8	yes	complemented
986	C₄×D₄	—	73	8	no	—
987	C₄×D₄	—	73	8	no	—
988	C₄×D₄	—	73	8	no	—
989	C₄×D₄	—	73	16	no	—
990	C₄×D₄	—	73	8	no	—
991	C₄×D₄	—	73	8	no	—
992	C₄×D₄	—	73	16	no	—
993	C₄×D₄	—	73	16	no	—
994	C₄×D₄	—	73	16	no	—
995	C₄×D₄	—	73	8	no	—
996	C₄×D₄	—	73	16	no	—
997	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
998	#117	—	73	8	no	—
999	#117	—	73	16	no	—
1000	#117	C₂²×D₇₃	1	8	yes	complemented
1001	C₂×C₄⋊C₄	—	73	1	no	—
1002	C₂×C₄⋊C₄	—	73	2	no	—
1003	C₂×C₄⋊C₄	—	73	2	no	—
1004	C₂×C₄⋊C₄	—	73	1	no	—
1005	C₂×C₄⋊C₄	—	73	1	no	—
1006	C₂×C₄⋊C₄	—	73	1	no	—
1007	C₂×C₄⋊C₄	—	73	1	no	—
1008	C₂×C₄⋊C₄	—	73	1	no	—
1009	C₂×C₄⋊C₄	—	73	2	no	—
1010	C₂×C₄⋊C₄	—	73	2	no	—
1011	C₂×C₄⋊C₄	—	73	1	no	—
1012	C₂×C₄⋊C₄	—	73	1	no	—
1013	C₂×C₄⋊C₄	—	73	16	no	—
1014	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1015	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1021	C₂×C₂²⋊C₄	—	73	1	no	—
1022	C₂×C₂²⋊C₄	—	73	1	no	—
1023	C₂×C₂²⋊C₄	—	73	1	no	—
1024	C₂×C₂²⋊C₄	—	73	2	no	—
1025	C₂×C₂²⋊C₄	—	73	2	no	—
1026	C₂×C₂²⋊C₄	—	73	2	no	—
1027	C₂×C₂²⋊C₄	—	73	2	no	—
1028	C₂×C₂²⋊C₄	—	73	16	no	—
1029	C₂×C₂²⋊C₄	—	73	2	no	—
1030	C₂×C₂²⋊C₄	—	73	2	no	—
1031	C₂×C₂²⋊C₄	—	73	1	no	—
1032	C₂×C₂²⋊C₄	—	73	1	no	—
1033	C₂×C₂²⋊C₄	—	73	2	no	—
1034	C₂×C₂²⋊C₄	—	73	2	no	—
1035	C₂×C₂²⋊C₄	—	73	1	no	—
1036	C₂×C₂²⋊C₄	—	73	2	no	—
1037	C₂×C₂²⋊C₄	—	73	2	no	—
1038	C₂×C₂²⋊C₄	—	73	2	no	—
1039	C₂×C₂²⋊C₄	—	73	2	no	—
1040	C₂×C₂²⋊C₄	—	73	1	no	—
1041	C₂×C₂²⋊C₄	—	73	1	no	—
1042	C₂×C₂²⋊C₄	—	73	2	no	—
1043	C₂×C₂²⋊C₄	—	73	16	no	—
1044	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1045	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1048	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1051	C₂×C₄²	—	73	1	no	—
1052	C₂×C₄²	—	73	2	no	—
1053	C₂×C₄²	—	73	1	no	—
1054	C₂×C₄²	—	73	1	no	—
1055	C₂×C₄²	—	73	1	no	—
1056	C₂×C₄²	—	73	8	no	—
1057	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1058	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
1059	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1060	C₂⁴	—	292	4	no	—
1061	C₂⁴	—	292	4	no	—
1062	C₂⁴	—	292	4	no	—
1063	C₂⁴	—	292	4	no	—
1064	C₂⁴	—	292	4	no	—
1065	C₂⁴	—	292	4	no	—
1066	C₂⁴	—	73	8	no	—
1067	C₂⁴	—	73	8	no	—
1068	C₂⁴	—	73	2	no	—
1069	C₂⁴	—	73	1	no	—
1070	C₂⁴	—	73	2	no	—
1071	C₂⁴	—	73	2	no	—
1072	C₂⁴	—	73	1	no	—
1073	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1074	C₂⁴	C₂³×D₇₃	1	2	yes	—
1075	#41	—	292	16	no	—
1076	#41	—	292	32	no	—
1077	#41	—	292	16	no	—
1078	#41	—	292	16	no	—
1079	#41	—	292	16	no	—
1080	#41	—	292	32	no	—
1081	C₂×Q₈	—	2	4	no	—
1082	C₂×Q₈	—	4	4	no	—
1083	C₂×Q₈	—	73	4	no	—
1084	C₂×Q₈	—	73	4	no	—
1085	C₂×Q₈	—	146	4	no	—
1086	C₂×Q₈	—	146	4	no	—
1087	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1088	C₂×Q₈	C₂³×D₇₃	1	8	yes	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	4	4	no	—
1091	C₂×D₄	—	292	4	no	—
1092	C₂×D₄	—	292	4	no	—
1093	C₂×D₄	—	292	4	no	—
1094	C₂×D₄	—	292	2	no	—
1095	C₂×D₄	—	292	4	no	—
1096	C₂×D₄	—	292	4	no	—
1097	C₂×D₄	—	292	4	no	—
1098	C₂×D₄	—	292	4	no	—
1099	C₂×D₄	—	292	4	no	—
1100	C₂×D₄	—	292	4	no	—
1101	C₂×D₄	—	292	4	no	—
1102	C₂×D₄	—	292	16	no	—
1103	C₂×D₄	—	292	16	no	—
1104	C₂×D₄	—	292	32	no	—
1105	C₂×D₄	—	292	4	no	—
1106	C₂×D₄	—	292	4	no	—
1107	C₂×D₄	—	292	4	no	—
1108	C₂×D₄	—	292	2	no	—
1109	C₂×D₄	—	292	4	no	—
1110	C₂×D₄	—	292	4	no	—
1111	C₂×D₄	—	292	4	no	—
1112	C₂×D₄	—	73	8	no	—
1113	C₂×D₄	—	73	4	no	—
1114	C₂×D₄	—	73	8	no	—
1115	C₂×D₄	—	73	8	no	—
1116	C₂×D₄	—	73	8	no	—
1117	C₂×D₄	—	73	8	no	—
1118	C₂×D₄	—	73	8	no	—
1119	C₂×D₄	—	73	4	no	—
1120	C₂×D₄	—	73	8	no	—
1121	C₂×D₄	—	73	8	no	—
1122	C₂×D₄	—	73	4	no	—
1123	C₂×D₄	—	73	8	no	—
1124	C₂×D₄	—	73	8	no	—
1125	C₂×D₄	—	73	8	no	—
1126	C₂×D₄	—	73	8	no	—
1127	C₂×D₄	—	73	8	no	—
1128	C₂×D₄	—	73	8	no	—
1129	C₂×D₄	—	73	8	no	—
1130	C₂×D₄	—	73	8	no	—
1131	C₂×D₄	—	73	8	no	—
1132	C₂×D₄	—	73	4	no	—
1133	C₂×D₄	—	73	4	no	—
1134	C₂×D₄	—	73	4	no	—
1135	C₂×D₄	—	146	4	no	—
1136	C₂×D₄	—	146	8	no	—
1137	C₂×D₄	—	146	4	no	—
1138	C₂×D₄	—	146	4	no	—
1139	C₂×D₄	—	146	4	no	—
1140	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1141	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1142	C₂²×C₄	—	2	4	no	—
1143	C₂²×C₄	—	4	4	no	—
1144	C₂²×C₄	—	292	2	no	—
1145	C₂²×C₄	—	292	4	no	—
1146	C₂²×C₄	—	292	4	no	—
1147	C₂²×C₄	—	292	4	no	—
1148	C₂²×C₄	—	292	4	no	—
1149	C₂²×C₄	—	292	4	no	—
1150	C₂²×C₄	—	73	8	no	—
1151	C₂²×C₄	—	73	4	no	—
1152	C₂²×C₄	—	73	8	no	—
1153	C₂²×C₄	—	73	8	no	—
1154	C₂²×C₄	—	73	8	no	—
1155	C₂²×C₄	—	73	8	no	—
1156	C₂²×C₄	—	73	1	no	—
1157	C₂²×C₄	—	73	1	no	—
1158	C₂²×C₄	—	73	1	no	—
1159	C₂²×C₄	—	73	1	no	—
1160	C₂²×C₄	—	73	1	no	—
1161	C₂²×C₄	—	73	2	no	—
1162	C₂²×C₄	—	73	1	no	—
1163	C₂²×C₄	—	73	4	no	—
1164	C₂²×C₄	—	73	4	no	—
1165	C₂²×C₄	—	73	8	no	—
1166	C₂²×C₄	—	73	8	no	—
1167	C₂²×C₄	—	73	4	no	—
1168	C₂²×C₄	—	146	8	no	—
1169	C₂²×C₄	—	146	8	no	—
1170	C₂²×C₄	—	146	4	no	—
1171	C₂²×C₄	—	146	4	no	—
1172	C₂²×C₄	—	146	4	no	—
1173	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1174	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1177	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1180	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1181	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1183	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1184	C₄⋊C₄	—	73	4	no	—
1185	C₄⋊C₄	—	73	8	no	—
1186	C₄⋊C₄	—	73	4	no	—
1187	C₄⋊C₄	—	73	4	no	—
1188	C₄⋊C₄	—	73	4	no	—
1189	C₄⋊C₄	—	73	4	no	—
1190	C₄⋊C₄	—	73	8	no	—
1191	C₄⋊C₄	—	73	8	no	—
1192	C₄⋊C₄	—	73	4	no	—
1193	C₄⋊C₄	—	73	8	no	—
1194	C₄⋊C₄	—	73	4	no	—
1195	C₄⋊C₄	—	73	4	no	—
1196	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1197	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1198	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1199	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1200	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1201	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1202	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1203	C₂²⋊C₄	—	73	4	no	—
1204	C₂²⋊C₄	—	73	4	no	—
1205	C₂²⋊C₄	—	73	4	no	—
1206	C₂²⋊C₄	—	73	8	no	—
1207	C₂²⋊C₄	—	73	8	no	—
1208	C₂²⋊C₄	—	73	8	no	—
1209	C₂²⋊C₄	—	73	8	no	—
1210	C₂²⋊C₄	—	73	8	no	—
1211	C₂²⋊C₄	—	73	8	no	—
1212	C₂²⋊C₄	—	73	4	no	—
1213	C₂²⋊C₄	—	73	4	no	—
1214	C₂²⋊C₄	—	73	8	no	—
1215	C₂²⋊C₄	—	73	8	no	—
1216	C₂²⋊C₄	—	73	4	no	—
1217	C₂²⋊C₄	—	73	8	no	—
1218	C₂²⋊C₄	—	73	8	no	—
1219	C₂²⋊C₄	—	73	8	no	—
1220	C₂²⋊C₄	—	73	8	no	—
1221	C₂²⋊C₄	—	73	4	no	—
1222	C₂²⋊C₄	—	73	4	no	—
1223	C₂²⋊C₄	—	73	8	no	—
1224	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1225	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1226	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1227	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1228	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1230	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1231	C₄²	—	73	4	no	—
1232	C₄²	—	73	4	no	—
1233	C₄²	—	73	4	no	—
1234	C₄²	—	73	4	no	—
1235	C₄²	—	73	8	no	—
1236	C₄²	C₂³×D₇₃	1	4	yes	—
1237	C₄²	C₂³×D₇₃	1	8	yes	—
1238	C₄²	C₂³×D₇₃	1	4	yes	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	292	8	no	—
1246	C₂³	—	292	8	no	—
1247	C₂³	—	292	8	no	—
1248	C₂³	—	292	8	no	—
1249	C₂³	—	292	8	no	—
1250	C₂³	—	292	8	no	—
1251	C₂³	—	584	16	no	—
1252	C₂³	—	584	16	no	—
1253	C₂³	—	73	4	no	—
1254	C₂³	—	73	2	no	—
1255	C₂³	—	73	4	no	—
1256	C₂³	—	73	4	no	—
1257	C₂³	—	73	2	no	—
1258	C₂³	—	146	4	no	—
1259	C₂³	—	146	2	no	—
1260	C₂³	—	146	4	no	—
1261	C₂³	—	146	4	no	—
1262	C₂³	—	146	2	no	—
1263	C₂³	—	146	4	no	—
1264	C₂³	—	146	4	no	—
1265	C₂³	—	146	2	no	—
1266	C₂³	—	146	2	no	—
1267	C₂³	—	146	4	no	—
1268	C₂³	—	146	2	no	—
1269	C₂³	—	146	4	no	—
1270	C₂³	—	146	4	no	—
1271	C₂³	—	146	4	no	—
1272	C₂³	—	146	2	no	—
1273	C₂³	C₂⁴×D₇₃	1	2	yes	—
1274	C₂³	C₂⁴×D₇₃	1	4	yes	—
1275	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1276	Q₈	—	2	8	no	—
1277	Q₈	—	4	8	no	—
1278	Q₈	—	146	8	no	—
1279	Q₈	—	146	8	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	4	8	no	—
1282	D₄	—	292	8	no	—
1283	D₄	—	292	8	no	—
1284	D₄	—	292	8	no	—
1285	D₄	—	292	8	no	—
1286	D₄	—	292	8	no	—
1287	D₄	—	292	8	no	—
1288	D₄	—	292	8	no	—
1289	D₄	—	292	8	no	—
1290	D₄	—	292	8	no	—
1291	D₄	—	292	4	no	—
1292	D₄	—	292	8	no	—
1293	D₄	—	292	8	no	—
1294	D₄	—	292	8	no	—
1295	D₄	—	292	8	no	—
1296	D₄	—	292	8	no	—
1297	D₄	—	292	8	no	—
1298	D₄	—	292	8	no	—
1299	D₄	—	292	4	no	—
1300	D₄	—	146	8	no	—
1301	D₄	—	146	16	no	—
1302	D₄	—	146	8	no	—
1303	D₄	—	146	8	no	—
1304	D₄	—	146	8	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	2	4	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	4	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	8	no	—
1314	C₂×C₄	—	4	8	no	—
1315	C₂×C₄	—	292	8	no	—
1316	C₂×C₄	—	292	8	no	—
1317	C₂×C₄	—	292	8	no	—
1318	C₂×C₄	—	292	8	no	—
1319	C₂×C₄	—	292	4	no	—
1320	C₂×C₄	—	292	8	no	—
1321	C₂×C₄	—	73	4	no	—
1322	C₂×C₄	—	73	2	no	—
1323	C₂×C₄	—	73	2	no	—
1324	C₂×C₄	—	73	2	no	—
1325	C₂×C₄	—	73	2	no	—
1326	C₂×C₄	—	73	2	no	—
1327	C₂×C₄	—	73	4	no	—
1328	C₂×C₄	—	73	2	no	—
1329	C₂×C₄	—	146	16	no	—
1330	C₂×C₄	—	146	16	no	—
1331	C₂×C₄	—	146	8	no	—
1332	C₂×C₄	—	146	2	no	—
1333	C₂×C₄	—	146	2	no	—
1334	C₂×C₄	—	146	2	no	—
1335	C₂×C₄	—	146	4	no	—
1336	C₂×C₄	—	146	2	no	—
1337	C₂×C₄	—	146	2	no	—
1338	C₂×C₄	—	146	8	no	—
1339	C₂×C₄	—	146	8	no	—
1340	C₂×C₄	#14556637	1	4	yes	—
1341	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1342	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1343	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1344	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1345	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1346	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1347	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1348	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1349	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1350	C₂²	—	2	4	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	4	no	—
1354	C₂²	—	2	4	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	4	4	no	—
1357	C₂²	—	4	8	no	—
1358	C₂²	—	292	8	no	—
1359	C₂²	—	292	4	no	—
1360	C₂²	—	292	8	no	—
1361	C₂²	—	292	8	no	—
1362	C₂²	—	292	4	no	—
1363	C₂²	—	584	16	no	—
1364	C₂²	—	584	16	no	—
1365	C₂²	—	146	4	no	—
1366	C₂²	—	146	2	no	—
1367	C₂²	—	146	4	no	—
1368	C₂²	—	146	4	no	—
1369	C₂²	—	146	2	no	—
1370	C₂²	—	146	4	no	—
1371	C₂²	—	146	4	no	—
1372	C₂²	—	146	2	no	—
1373	C₂²	—	146	2	no	—
1374	C₂²	—	146	4	no	—
1375	C₂²	—	146	2	no	—
1376	C₂²	—	146	4	no	—
1377	C₂²	—	146	4	no	—
1378	C₂²	—	146	4	no	—
1379	C₂²	—	146	2	no	—
1380	C₂²	H(5,𝔽₂)×D₇₃	1	2	yes	—
1381	C₂²	C₂×#14556637	1	2	yes	—
1382	C₂²	#17989424	1	2	yes	—
1383	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	2	2	no	—
1389	C₄	—	2	4	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	73	4	no	—
1393	C₄	—	146	2	no	—
1394	C₄	—	146	2	no	—
1395	C₄	—	146	2	no	—
1396	C₄	—	146	4	no	—
1397	C₄	—	146	2	no	—
1398	C₄	—	146	2	no	—
1399	C₄	C₂×#14556637	1	4	yes	—
1400	C₂	—	4	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	292	4	no	—
1403	C₂	—	292	2	no	—
1404	C₂	—	292	4	no	—
1405	C₂	—	292	4	no	—
1406	C₂	—	292	2	no	—
1407	C₂	#22624300	1	4	yes	direct product factor
1408	C₂	C₂×H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1409	C₂	C₂²×#14556637	1	1	yes	characteristic
1410	C₂	C₂×#17989424	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂×#542×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#542	D₇₃
hypocenter	C₇₃	C₂×#3546
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #22624300	C₂	direct (N × H)
2. C₂×#17989328	C₂	semidirect
3. C₂×#17989327	C₂	semidirect
4. C₂×#17989309	C₂	semidirect
5. C₂×#17989288	C₂	semidirect
6. C₂×#17989259	C₂	semidirect
7. C₂×#17989258	C₂	semidirect
8. C₂×#17989255	C₂	semidirect
9. C₂×#17989239	C₂	semidirect
10. C₂×#17989232	C₂	semidirect
11. C₂×#17989229	C₂	semidirect
12. C₂×#17989228	C₂	semidirect
13. C₂×#17989221	C₂	semidirect
14. C₂×#17989211	C₂	semidirect
15. C₂×#17989177	C₂	semidirect
16. C₂×#17989171	C₂	semidirect
17. C₂×#17989167	C₂	semidirect
18. C₂×#17989156	C₂	semidirect
19. C₂×#17989155	C₂	semidirect
20. C₂×#17989155	C₂	semidirect
21. C₂×#17989138	C₂	semidirect
22. C₂×#17989136	C₂	semidirect
23. C₂×#17989115	C₂	semidirect
24. C₂×#542×C₇₃	C₂	semidirect
25. C₂²×#11924029	C₂²	semidirect
26. C₂²×#11924029	C₂²	semidirect
27. C₂²×#11924029	C₂²	semidirect
28. C₂²×#11924028	C₂²	semidirect
29. C₂²×#11924028	C₂²	semidirect
30. C₂²×#11924027	C₂²	semidirect
34. #17989328	C₂²	semidirect
35. #17989327	C₂²	semidirect
36. #17989309	C₂²	semidirect
37. #17989288	C₂²	semidirect
38. #17989259	C₂²	semidirect
39. #17989258	C₂²	semidirect
40. #17989255	C₂²	semidirect
41. #17989239	C₂²	semidirect
42. #17989232	C₂²	semidirect
43. #17989229	C₂²	semidirect
44. #17989228	C₂²	semidirect
45. #17989221	C₂²	semidirect
46. #17989211	C₂²	semidirect
47. #17989177	C₂²	semidirect
48. #17989171	C₂²	semidirect
49. #17989167	C₂²	semidirect
50. #17989156	C₂²	semidirect
51. #17989155	C₂²	semidirect
52. #17989155	C₂²	semidirect
53. #17989138	C₂²	semidirect
54. #17989136	C₂²	semidirect
55. C₂×#14556589	C₂²	semidirect
57. C₂×#14556588	C₂²	semidirect
58. C₂×#14556588	C₂²	semidirect
60. C₂×#14556587	C₂²	semidirect
61. C₂×#14556587	C₂²	semidirect
62. #17989115	C₂²	semidirect
63. C₂×#14556586	C₂²	semidirect
64. C₂×#14556586	C₂²	semidirect
65. C₂×#14556586	C₂²	semidirect
66. C₂×#14556585	C₂²	semidirect
67. C₂×#14556584	C₂²	semidirect
68. C₂×#14556581	C₂²	semidirect
70. C₂×#14556580	C₂²	semidirect
71. C₂×#14556580	C₂²	semidirect
73. C₂×#14556579	C₂²	semidirect
75. C₂×#14556576	C₂²	semidirect
76. C₂×#14556576	C₂²	semidirect
77. C₂×#14556576	C₂²	semidirect
78. C₂×#14556576	C₂²	semidirect
79. C₂×#14556575	C₂²	semidirect
80. C₂×#14556573	C₂²	semidirect
81. C₂×#14556573	C₂²	semidirect
82. C₂×#14556571	C₂²	semidirect
83. C₂×#14556569	C₂²	semidirect
84. C₂×#14556569	C₂²	semidirect
85. C₂×#14556567	C₂²	semidirect
88. C₂×#14556566	C₂²	semidirect
89. C₂×#14556566	C₂²	semidirect
90. C₂×#14556566	C₂²	semidirect
91. C₂×#14556566	C₂²	semidirect
92. C₂×#14556566	C₂²	semidirect
93. C₂×#14556566	C₂²	semidirect
94. C₂×#14556566	C₂²	semidirect
95. C₂×#14556565	C₂²	semidirect
96. C₂×#14556565	C₂²	semidirect
100. C₂×#14556564	C₂²	semidirect
101. C₂×#14556564	C₂²	semidirect
102. C₂×#14556564	C₂²	semidirect
103. C₂×#14556564	C₂²	semidirect
104. C₂×#14556564	C₂²	semidirect
105. C₂×#14556564	C₂²	semidirect
106. C₂×#14556564	C₂²	semidirect
107. C₂×#14556563	C₂²	semidirect
109. C₂×#14556561	C₂²	semidirect
110. C₂×#14556561	C₂²	semidirect
111. C₂×#14556561	C₂²	semidirect
112. C₂×#14556561	C₂²	semidirect
113. C₂×#14556561	C₂²	semidirect
114. C₂×#14556561	C₂²	semidirect
116. C₂×C₄×Dic₁₄₆	C₂²	semidirect
117. C₂×#14556556	C₂²	semidirect
118. C₂×C₄×D₂₉₂	C₂²	semidirect
119. C₂×C₄×D₂₉₂	C₂²	semidirect
121. C₂×#14556553	C₂²	semidirect
122. C₂×#14556553	C₂²	semidirect
123. C₂×#14556553	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
126. C₂×#14556551	C₂²	semidirect
127. C₂×#14556551	C₂²	semidirect
128. C₂×#14556551	C₂²	semidirect
129. C₂×#14556548	C₂²	semidirect
130. C₂×#14556548	C₂²	semidirect
131. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
132. C₂²×#11924005	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
134. C₂×C₄²×D₇₃	C₂²	semidirect
135. #542×C₇₃	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
137. C₂×#126×C₇₃	C₂²	semidirect
138. C₂×#124×C₇₃	C₂²	semidirect
139. C₂×#124×C₇₃	C₂²	semidirect
140. C₂×#123×C₇₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
145. C₂×C₄×D₄×C₇₃	C₂²	semidirect
146. C₂×#117×C₇₃	C₂²	semidirect
152. C₂×#11924029	C₂³	semidirect
153. C₂×#11924029	C₂³	semidirect
154. C₂×#11924029	C₂³	semidirect
157. C₂×#11924028	C₂³	semidirect
158. C₂×#11924028	C₂³	semidirect
160. C₂×#11924027	C₂³	semidirect
203. #14556589	C₂³	semidirect
205. #14556588	C₂³	semidirect
206. #14556588	C₂³	semidirect
208. #14556587	C₂³	semidirect
209. #14556587	C₂³	semidirect
210. #14556586	C₂³	semidirect
211. #14556586	C₂³	semidirect
212. #14556586	C₂³	semidirect
213. #14556585	C₂³	semidirect
214. #14556584	C₂³	semidirect
215. #14556581	C₂³	semidirect
217. #14556580	C₂³	semidirect
218. #14556580	C₂³	semidirect
220. #14556579	C₂³	semidirect
222. #14556576	C₂³	semidirect
223. #14556576	C₂³	semidirect
224. #14556576	C₂³	semidirect
225. #14556576	C₂³	semidirect
226. #14556575	C₂³	semidirect
227. #14556573	C₂³	semidirect
228. #14556573	C₂³	semidirect
229. #14556571	C₂³	semidirect
230. #14556569	C₂³	semidirect
231. #14556569	C₂³	semidirect
232. #14556567	C₂³	semidirect
235. #14556566	C₂³	semidirect
236. #14556566	C₂³	semidirect
237. #14556566	C₂³	semidirect
238. #14556566	C₂³	semidirect
239. #14556566	C₂³	semidirect
240. #14556566	C₂³	semidirect
241. #14556566	C₂³	semidirect
242. #14556565	C₂³	semidirect
243. #14556565	C₂³	semidirect
247. #14556564	C₂³	semidirect
248. #14556564	C₂³	semidirect
249. #14556564	C₂³	semidirect
250. #14556564	C₂³	semidirect
251. #14556564	C₂³	semidirect
252. #14556564	C₂³	semidirect
253. #14556564	C₂³	semidirect
254. #14556563	C₂³	semidirect
256. #14556561	C₂³	semidirect
257. #14556561	C₂³	semidirect
258. #14556561	C₂³	semidirect
259. #14556561	C₂³	semidirect
260. #14556561	C₂³	semidirect
261. #14556561	C₂³	semidirect
263. C₄×Dic₁₄₆	C₂³	semidirect
264. #14556556	C₂³	semidirect
265. C₄×D₂₉₂	C₂³	semidirect
266. C₄×D₂₉₂	C₂³	semidirect
268. #14556553	C₂³	semidirect
269. #14556553	C₂³	semidirect
270. #14556553	C₂³	semidirect
272. C₄×C₂²⋊D₇₃	C₂³	semidirect
273. #14556551	C₂³	semidirect
274. #14556551	C₂³	semidirect
275. #14556551	C₂³	semidirect
276. #14556548	C₂³	semidirect
277. #14556548	C₂³	semidirect
290. C₄⋊C₄×D₇₃	C₂³	semidirect
312. C₂×#11924005	C₂³	semidirect
313. C₂²⋊C₄×D₇₃	C₂³	semidirect
319. C₄²×D₇₃	C₂³	semidirect
326. C₄⋊Q₈×C₇₃	C₂³	semidirect
327. #126×C₇₃	C₂³	semidirect
328. #124×C₇₃	C₂³	semidirect
329. #124×C₇₃	C₂³	semidirect
330. #123×C₇₃	C₂³	semidirect
331. C₂²⋊Q₈×C₇₃	C₂³	semidirect
332. C₂²⋊Q₈×C₇₃	C₂³	semidirect
334. C₄×Q₈×C₇₃	C₂³	semidirect
335. C₄×D₄×C₇₃	C₂³	semidirect
336. #117×C₇₃	C₂³	semidirect
697. C₂×C₇₃	#3546	semidirect
720. C₂×#542	D₇₃	semidirect
730. C₇₃	C₂×#3546	semidirect
753. #542	C₂×D₇₃	semidirect
763. C₂×C₄⋊Q₈	C₂×D₇₃	semidirect
776. C₂×#126	C₂×D₇₃	semidirect
784. C₂×#124	C₂×D₇₃	semidirect
785. C₂×#124	C₂×D₇₃	semidirect
793. C₂×#123	C₂×D₇₃	semidirect
798. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
799. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
833. C₂×C₄×Q₈	C₂×D₇₃	semidirect
845. C₂×C₄×D₄	C₂×D₇₃	semidirect
848. C₂×#117	C₂×D₇₃	semidirect
916. C₄⋊Q₈	C₂²×D₇₃	semidirect
928. #126	C₂²×D₇₃	semidirect
936. #124	C₂²×D₇₃	semidirect
937. #124	C₂²×D₇₃	semidirect
945. #123	C₂²×D₇₃	semidirect
950. C₂²⋊Q₈	C₂²×D₇₃	semidirect
951. C₂²⋊Q₈	C₂²×D₇₃	semidirect
985. C₄×Q₈	C₂²×D₇₃	semidirect
997. C₄×D₄	C₂²×D₇₃	semidirect
1000. #117	C₂²×D₇₃	semidirect
1407. C₂	#22624300	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#22624300	2
C₂×#17989328	2
C₂×#17989327	2
C₂×#17989309	2
C₂×#17989288	2
C₂×#17989259	2
C₂×#17989258	2
C₂×#17989255	2
C₂×#17989239	2
C₂×#17989232	2
C₂×#17989229	2
C₂×#17989228	2
C₂×#17989221	2
C₂×#17989211	2
C₂×#17989177	2
C₂×#17989171	2
C₂×#17989167	2
C₂×#17989156	2
C₂×#17989155	2
C₂×#17989138	2
C₂×#17989136	2
C₂×#17989115	2
C₂×#542×C₇₃	2
C₂×#3546	73

Subgroups — C2×#22624300 #33993625

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22624300 #33993625